The analytical method is developed to calculate the three-dimensional quasi-stationary electromagnetic field generated by arbitrary spatial current contour near the conducting body 1 / 3 2018 N1 st1 with plane surface. By the use of displacement currents in dielectric region under quasi-stationary approximation, in addition to the results presented earlier, the solution for the scalar potential and electric intensity in entire dielectric half-space is found. Owing to the established fact of vertical zero components of the electric intensity and current density in conducting half-space, the electric field of surface charge compensates completely the vertical component of induced electric intensity of the initial current system. As an example, the electric intensity and surface electric charge density are calculated for the current contour configuration typical for technological systems. References 13, figures 3.

On the basis of the analytical decision of problem on a field of radiating harmonious current dipole the analytical calculation method of quasi-stationary three-dimensional electromagnetic field created by arbitrary spatial current contour, located near conducting body with a flat surface is developed. The analytical decision taking into account closed current contour is found for vector potential, induction of magnetic field and intensity of electric field in dielectric and conducting media without limitations on contours geometry, media properties and current frequency It is established, that the current density in the conducting medium has no component directed perpendicularly to flat surface of body for any initial current system and for any

The reduction of nonuniform electromagnetic field created by current contour in conducting half-space is analyzed by analytical solution of three-dimensional field problem and numerical computation of the problem using program Comsol. As shown, the rate of the field reduction depends on skin depth. The greater the depth, the faster the rate of such field penetration. At strong skin-effect, the rate of field reduction is approximated to uniform field penetration for all points on the interface, and the disagreement is associated with the value of small parameter. R eferences 10, figures 4.

It is established that the distribution of density of induced current in conducting half-space has no component perpendicular to the planar interface between media, regardless of (1) the properties of the medium, (2) configuration of a current-carrying contour, and (3) the current dependence on time. It is shown that the surface density of electric charge is determined only by the normal component of the strength of the induced electric field of the source-system of currents. In the case of a strong skin effect in electric conductive medium, conclusions have been drawn based on the correct solution of the task of electromagnetic field. Spreading the statement on the general case of medium with arbitrary electro physical properties is based on the well-known zero solution of the boundary problem for a vertical component of electric field strength in electrically conductive medium defined as a task of homogeneous equation of parabolic type with zero boundary conditions. Results are illustrated by the example of calculating the surface density of the electric charge in the case of the planar current-carrying contour if the current is supplied using two parallel conductors perpendicular to the central part of the contour.

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